EUROPT 2024
Abstract Submission

126. Adapting the DMulti-MADS algorithm to mixed-integer multiobjective derivative-free optimization

Invited abstract in session TC-4: Multiobjective Optimization II, stream Multiobjective optimization.

Thursday, 11:25 - 12:40
Room: M:M

Authors (first author is the speaker)

1. Ludovic Salomon
MAGI, Polytechnique Montréal
2. Sébastien Le Digabel
Polytechnique Montréal
3. Christophe Tribes
Mathematics and Industrial Engineering, Polytechnique Montréal

Abstract

The DMulti-MADS method is an extension of the Mesh Adaptive Direct Search (MADS) algorithm for multiobjective derivative-free optimization. It is convergence-based and at the same time has shown good experimental performance. DMulti-MADS was originally designed for continuous variables only. However, many "real-world" engineering applications also have integer variables that need to be considered. In this talk, we describe a simple adaptation of the DMulti-MADS algorithm to consider both continuous and integer variables. Numerical experiments on artificial benchmarks and real-world problems are performed against state-of-the-art algorithms.

Keywords

Status: accepted


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